Quantity of water in steady state unsaturated downward movement Calculator

✖Effective Hydraulic Conductivity under the degree of saturation existing in the unsaturated zone.ⓘ Effective Hydraulic Conductivity [K_e]			+10% -10%
✖Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area [A]			+10% -10%
✖Water Rise in small diameter glass tubes to a height h, above the water level in a large container.ⓘ Water Rise [h_c]			+10% -10%
✖Length of the Water Column supported by capillarity in relation to the maximum possible height of capillary rise.ⓘ Length of the Water Column [z]			+10% -10%
✖Hydraulic Gradient due to gravity is the ratio of difference in height of water to that of the horizontal distance between the wells or a specific measurement of liquid pressure above vertical datum.ⓘ Hydraulic Gradient [dhds]			+10% -10%

✖Total Water Volume exchanged or the quantity of water during the entire event under consideration, for example, tide period.ⓘ Quantity of water in steady state unsaturated downward movement [V_w]

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Quantity of water in steady state unsaturated downward movement

Formula

`"V"_{"w"} = ("K"_{"e"}*"A"*(("h"_{"c"}-"z")/"z"))-"dhds"`

Example

`"49.6m³/s"=("12m/s"*"13m²"*(("60m"-"45m")/"45m"))-"2.4"`

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Quantity of water in steady state unsaturated downward movement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Water Volume = (Effective Hydraulic Conductivity*Cross-Sectional Area*((Water Rise-Length of the Water Column)/Length of the Water Column))-Hydraulic Gradient
V_w = (K_e*A*((h_c-z)/z))-dhds
This formula uses 6 Variables

Variables Used

Total Water Volume - (Measured in Cubic Meter per Second) - Total Water Volume exchanged or the quantity of water during the entire event under consideration, for example, tide period.
Effective Hydraulic Conductivity - (Measured in Meter per Second) - Effective Hydraulic Conductivity under the degree of saturation existing in the unsaturated zone.
Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Water Rise - (Measured in Meter) - Water Rise in small diameter glass tubes to a height h, above the water level in a large container.
Length of the Water Column - (Measured in Meter) - Length of the Water Column supported by capillarity in relation to the maximum possible height of capillary rise.
Hydraulic Gradient - Hydraulic Gradient due to gravity is the ratio of difference in height of water to that of the horizontal distance between the wells or a specific measurement of liquid pressure above vertical datum.

STEP 1: Convert Input(s) to Base Unit

Effective Hydraulic Conductivity: 12 Meter per Second --> 12 Meter per Second No Conversion Required
Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
Water Rise: 60 Meter --> 60 Meter No Conversion Required
Length of the Water Column: 45 Meter --> 45 Meter No Conversion Required
Hydraulic Gradient: 2.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_w = (K_e*A*((h_c-z)/z))-dhds --> (12*13*((60-45)/45))-2.4

Evaluating ... ...

V_w = 49.6

STEP 3: Convert Result to Output's Unit

49.6 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

49.6 Cubic Meter per Second <-- Total Water Volume

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Groundwater Hydrology » Modified Darcy's Laws » Quantity of water in steady state unsaturated downward movement

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Coorg Institute of Technology (CIT), Coorg

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< 6 Modified Darcy's Laws Calculators

Quantity of water in steady state unsaturated flow in direction of upward movement

Go Total Water Volume = (Effective Hydraulic Conductivity*Cross-Sectional Area*((Water Rise-Length of the Water Column)/Length of the Water Column))+Hydraulic Gradient

Quantity of water in steady state unsaturated downward movement

Go Total Water Volume = (Effective Hydraulic Conductivity*Cross-Sectional Area*((Water Rise-Length of the Water Column)/Length of the Water Column))-Hydraulic Gradient

Flow through any Square using Darcy's law for Groundwater Flow Nets

Go Total discharge = Hydraulic Conductivity*Distance Between Flow Lines*Aquifer Thickness*(Difference in Head Between Equipotential Lines/Distance between Equipotential Lines)

Total flow through any set or group of equipotential lines

Go Total Flow Through any set of Squares = Number of Squares through which the Flow Occurs*Flow Through any Square

Number of squares through which flow occurs

Go Number of Squares through which the Flow Occurs = Total Flow Through any set of Squares/Flow Through any Square

Flow through any square for total flow

Go Flow Through any Square = Total Flow Through any set of Squares/Number of Squares through which the Flow Occurs

Quantity of water in steady state unsaturated downward movement Formula

Total Water Volume = (Effective Hydraulic Conductivity*Cross-Sectional Area*((Water Rise-Length of the Water Column)/Length of the Water Column))-Hydraulic Gradient
V_w = (K_e*A*((h_c-z)/z))-dhds

What is Unsaturated Hydraulic Conductivity?

Unsaturated Hydraulic Conductivity refers to a measure of soil's water-retaining ability when soil pore space is not saturated with water.

How to Calculate Quantity of water in steady state unsaturated downward movement?

Quantity of water in steady state unsaturated downward movement calculator uses Total Water Volume = (Effective Hydraulic Conductivity*Cross-Sectional Area*((Water Rise-Length of the Water Column)/Length of the Water Column))-Hydraulic Gradient to calculate the Total Water Volume, The Quantity of water in steady state unsaturated downward movement Steady-state unsaturated flow (Q) is proportional to the effective hydraulic conductivity (K), the cross-sectional area (A), through which the flow occurs, and gradients due to both capillary forces and gravitational forces. Total Water Volume is denoted by V_w symbol.

How to calculate Quantity of water in steady state unsaturated downward movement using this online calculator? To use this online calculator for Quantity of water in steady state unsaturated downward movement, enter Effective Hydraulic Conductivity (K_e), Cross-Sectional Area (A), Water Rise (h_c), Length of the Water Column (z) & Hydraulic Gradient (dhds) and hit the calculate button. Here is how the Quantity of water in steady state unsaturated downward movement calculation can be explained with given input values -> 49.6 = (12*13*((60-45)/45))-2.4.

FAQ

What is Quantity of water in steady state unsaturated downward movement?

The Quantity of water in steady state unsaturated downward movement Steady-state unsaturated flow (Q) is proportional to the effective hydraulic conductivity (K), the cross-sectional area (A), through which the flow occurs, and gradients due to both capillary forces and gravitational forces and is represented as V_w = (K_e*A*((h_c-z)/z))-dhds or Total Water Volume = (Effective Hydraulic Conductivity*Cross-Sectional Area*((Water Rise-Length of the Water Column)/Length of the Water Column))-Hydraulic Gradient. Effective Hydraulic Conductivity under the degree of saturation existing in the unsaturated zone, Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point, Water Rise in small diameter glass tubes to a height h, above the water level in a large container, Length of the Water Column supported by capillarity in relation to the maximum possible height of capillary rise & Hydraulic Gradient due to gravity is the ratio of difference in height of water to that of the horizontal distance between the wells or a specific measurement of liquid pressure above vertical datum.

How to calculate Quantity of water in steady state unsaturated downward movement?

The Quantity of water in steady state unsaturated downward movement Steady-state unsaturated flow (Q) is proportional to the effective hydraulic conductivity (K), the cross-sectional area (A), through which the flow occurs, and gradients due to both capillary forces and gravitational forces is calculated using Total Water Volume = (Effective Hydraulic Conductivity*Cross-Sectional Area*((Water Rise-Length of the Water Column)/Length of the Water Column))-Hydraulic Gradient. To calculate Quantity of water in steady state unsaturated downward movement, you need Effective Hydraulic Conductivity (K_e), Cross-Sectional Area (A), Water Rise (h_c), Length of the Water Column (z) & Hydraulic Gradient (dhds). With our tool, you need to enter the respective value for Effective Hydraulic Conductivity, Cross-Sectional Area, Water Rise, Length of the Water Column & Hydraulic Gradient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Total Water Volume?

In this formula, Total Water Volume uses Effective Hydraulic Conductivity, Cross-Sectional Area, Water Rise, Length of the Water Column & Hydraulic Gradient. We can use 1 other way(s) to calculate the same, which is/are as follows -

Total Water Volume = (Effective Hydraulic Conductivity*Cross-Sectional Area*((Water Rise-Length of the Water Column)/Length of the Water Column))+Hydraulic Gradient

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